Question

a group of 100 candidates have their average height 163.8cm with coefficient of variation 3.2 .what is the standard deviation of their heights?​

Answer 1

Hi,

Answer:

The standard deviation of their heights is 5.2416 .

Step-by-step explanation:

Given data:  

No. of candidates, N = 100

Average height of 100 candidates,  ¯x = 163.8 cm

Coefficient of variation, C.V. = 3.2

To find: standard deviation of their heights, σ

The coefficient of variation is given by  

C.V. = [  σ / ¯x  ] * 100

Or, 3.2 = [ σ / 163.8] * 100

Or, σ = 3.2 * 163.8 / 100 = 5.2416

Hope this helps!!!!!

Answer 2

Answer

Average height of 100  candidates =  163.8 cm  =  μ

C.V. = 3.2

The coefficient of variation is given by

CV=(σ/μ)×100

3.2 = [ σ / 163.8] * 100

σ = 3.2 * 163.8 / 100 = 5.2416

Step-by-step explanation: